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Finding the Third Proportional to 210,851 and 318,909

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Solution

The third proportional to 210,851 and 318,909 is: 482,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,851 : 318,909 = 318,909 : x
  2. Step 2: Convert to fraction form
    210,851/318,909 = 318,909/x
  3. Step 3: Cross multiply
    210,851x = 318,909 × 318,909
  4. Step 4: Simplify right side
    210,851x = 101,702,950,281
  5. Step 5: Solve for x
    x = 101,702,950,281/210,851
  6. Step 6: Final answer
    x = 482,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.